On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
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| Creator |
Bertrand, S.
Grundland, A.M. Hariton, A.J. |
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| Description |
The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, based on the authors' earlier results. A detailed analysis of the symmetry properties of both the classical and supersymmetric versions of the Gauss-Weingarten equations is performed. A supersymmetric generalization of the conjecture establishing the necessary conditions for a system to be integrable in the sense of soliton theory is formulated and illustrated by the examples of supersymmetric versions of the sine-Gordon equation and the Gauss-Codazzi equations.
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| Date |
2019-02-13T16:52:14Z
2019-02-13T16:52:14Z 2015 |
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| Type |
Article
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| Identifier |
On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces / S. Bertrand, A.M. Grundland, A.J. Hariton // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35Q51; 53A05; 22E70 DOI:10.3842/SIGMA.2015.046 http://dspace.nbuv.gov.ua/handle/123456789/147112 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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